Despite recent trade tensions between the United States and the rest of the world, the United Kingdom is optimistic it will ultimately strike a deal with the U.S., the U.K. trade commissioner for North America told CNBC on Tuesday.

Such an agreement would come after the U.K. leaves the European Union next March.

"We're confident that we can do a deal with the U.S. We are confident that the U.S. will want to do a deal with us," Antony Phillipson said on "Closing Bell."

"If we get the deal right, then there will be mutual benefit for both sides and it will stick."

"If they do a deal like that, we would be dealing with the European Union instead of dealing with the U.K., so it will probably kill the deal," Trump said about a potential trade agreement between the U.S. and the U.K.

May is under pressure to deliver on the 2016 vote authorizing the U.K.'s exit from the EU. There has been recent political turmoil over her strategy, resulting in the departure of high-level government officials.